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https://physrep.ff.bg.ac.rs/handle/123456789/256
Title: | Noncommutative geometry and gravity | Authors: | Aschieri, Paolo Dimitrijević-Ćirić, Marija Meyer, Frank Wess, Julius |
Issue Date: | 21-Mar-2006 | Journal: | Classical and Quantum Gravity | Abstract: | We study a deformation of infinitesimal diffeomorphisms of a smooth manifold. The deformation is based on a general twist. This leads to a differential geometry on a noncommutative algebra of functions whose product is a star product. The class of noncommutative spaces studied is very rich. Non-anticommutative superspaces are also briefly considered. The differential geometry developed is covariant under deformed diffeomorphisms and is coordinate independent. The main target of this work is the construction of Einstein's equations for gravity on noncommutative manifolds. © 2006 IOP Publishing Ltd. |
URI: | https://physrep.ff.bg.ac.rs/handle/123456789/256 | ISSN: | 0264-9381 | DOI: | 10.1088/0264-9381/23/6/005 |
Appears in Collections: | Journal Article |
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